I'm so sorry you're feeling this way. There is light at the end of the tunnel though, keep going!
I have mh issues so understand exactly how you're feeling.
So your inspection is due today? I have a way of working that helps me, maybe try and see if it helps?
Firstly, I would open windows and doors and get some fresh air blowing through (I keep all my windows open a crack 24/7 to keep it fresh and aired).
Start at the top and go in every room, check for plates, pots, cutlery and put them in the sink. Fill the sink and soak pots.
Next is clothes, do the same again and collect laundry, pop it in basket/washing machine/bag for life.
Toys is next! Again, start at the top and move all toys to a pile in each room. No need to put away, just in a pile somewhere.
Then a bin bag and some smaller bin bags/carrier bags. Rubbish to be picked up and bins emptied. Leave a spare bag in each room, you could hang on a door handle. Every time you go into a room, put 5 things in the bag to throw out.
Everytime you have done a job, e.g. collected laundry, reward yourself! Watch 10 mins of a video you want, catch up on fb, play with the babies.
Once you've collected all your bags and you can't find 5 things to throw, contact environmental health at your council. They can collect rubbish and make a payment plan to pay it off! Cheaper than a skip and they do the leg work!
Start small. You can do this! You will see the change very quickly if you stick to 5 pieces of rubbish and it takes seconds!